11657114320896 has 1344 divisors, whose sum is σ = 39821845994700. Its totient is φ = 3405455032320.

The previous prime is 11657114320877. The next prime is 11657114320897. The reversal of 11657114320896 is 69802341175611.

11657114320896 is a `hidden beast` number, since 1 + 1 + 6 + 571 + 1 + 43 + 20 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10441687449600 + 1215426871296 = 3231360^2 + 1102464^2 .

It is a super-2 number, since 2×11657114320896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11657114320897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 106946002890 + ... + 106946002998.

It is a 1-persistent number, because it is pandigital, but 2⋅11657114320896 = 23314228641792 is not.

Almost surely, 2^{11657114320896} is an apocalyptic number.

11657114320896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11657114320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910922997350).

11657114320896 is an abundant number, since it is smaller than the sum of its proper divisors (28164731673804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11657114320896 is an frugal number, since it uses more digits than its factorization.

11657114320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11657114320896 in words is "eleven trillion, six hundred fifty-seven billion, one hundred fourteen million, three hundred twenty thousand, eight hundred ninety-six".